開催日時
2022/11/11 金 15:30 - 17:00
講演者
Saisai Yang
講演者所属
University of Science and Technology of China
概要
In this talk, we will introduce Zvonkin transformations and use this methodology to solve the SDEs with singular drift b. We will show that if $|b|^2$ belongs to the Kato class $K_{d,a}$ for some $a \in (0,2)$ ($a$ can be arbitrarily close to $2$), then there exist unique strong solutions to the SDEs. Furthermore, we allow the drift to be time-dependent. In order to apply Zvonkin transformations, we need to have a better understanding for the parabolic equations with Kato class coefficients. Some new regularity estimates on Kato class and Hardy-Littlewood maximal operators will play crucial roles.